The presence of super massive blackholes (SMBH) at the centers of massive galaxies provides a mechanism for the existence of Active Galactic Nuclei (AGN), which can suppress excessive star formation and regulate galaxy growth [
1,
2]. AGN feedback, through processes such as heating the surrounding gas with AGN jets, plays a crucial role in quenching massive galaxies and controlling the growth of SMBHs [
3]. This feedback has a direct influence on the gas content of the galaxy, resulting in negative/positive feedback on star formation [
4,
5,
6,
7,
8]. The role of AGN feedback in shaping galaxy properties is supported by numerous studies [
9,
10,
11,
12,
13,
14,
15].
Brightest galaxy groups (BGGs), at the core of galaxy groups, serve as windows into the intricate processes governing galaxy assembly, star formation, and the interplay between SMBHs and their host galaxies[
16,
17]. In a group, galaxy interactions shape galaxy evolution by leaving observable marks like tidal features and kinematic perturbations in stars and gas [
18,
19,
20]. A remarkable perturbation is the stellar-gas misalignment, where stars and gas rotate in different (in case of conter-rotation, opposite) directions due to their various (opposite) angular momentum[
21] . A mismatch bigger than 30° (between the kinematic position angle of gas and stars) shows special events (either internal or external), such as mergers or gas accretion from nearby galaxies or blackhole activity (i.e. AGN feedback) [
22,
23,
24]. Dynamically relaxed groups, which lack recent group-scale mergers and major galaxy mergers, are particularly suitable for such studies [
25,
26]. The dynamical state/age of galaxy groups can be characterized by indicators such as the luminosity gap and the offset between the BGG and the luminosity centroid, with the luminosity gap being a key factor [
27]. A large luminosity gap suggests the absence of recent major mergers that could trigger cold mode accretion. In dynamically relaxed groups, where the intergalactic medium (IGM) reaches its peak density at the bottom of the group/cluster potential well, an AGN is subject to hot gas accretion. On one hand, [
28] found a combination of the low luminosity gap (an indicator for internal event and cold accretion) and the large BGG offset from the centre (an indicator for external event and hot accretion) in a group, is the key driver behind the observed high AGN activity probed by the radio emission. The presence of nuclear gas that can be accreted by a central supermassive blackhole is considered crucial for fueling and powering AGN [
29]. On the other hand, the prevalence of misalignments in early-type galaxies (which is mostly locate at the center of groups and clusters), along with the possibility of aligned stellar-gas kinematics resulting from external gas accretion depending on the interaction geometry and galaxy morphology, indicates a substantial contribution of external accretion to the total gas content in these galaxies[
30], which in turn affects the availability of gas for blackhole fuelling.
The alignment or misalignment of gas and stars in galaxies, along with the influence of external gas accretion, plays a crucial role in understanding the fuelling of SMBHs and the AGN. Theoretical studies have proposed that the presence of counter-rotating or significantly misaligned structures facilitates gas inflow and potentially contributes to the fuelling of supermassive blackholes in galaxies of various types [
31,
32,
33,
34,
35] . Recently, a hydrodynamic simulation of idealised gas disc around SMBH suggested that the stability of the disk’s position angle across different radii can be attributed to the mechanical feedback from the AGN, indicating a direct influence of AGN activity on the kinematic properties of the molecular gas [
36]. This comprehensive review is structured into key sections, each providing perspective on various dimensions of impacts of blackhole activity on the kinematics of gas in evolution of galaxies: from the dynamical state of galaxy groups, via the complex interplay of blackhole evolution and actions, to the dramatic narratives of major merger history. We further show the variations in radio emissions from BGGs, the varying influence of galaxy groups’ dynamical states on their stellar populations, the intricate connections between group dynamics and BGGs, and the intriguing phenomena of gas misalignment in AGN-dominated galaxies via hydrodynamic simulation. Each segment contributes a piece to the puzzle, enriching our understanding of the complex interplay between blackhole activity, kinematic misalignment, and the environments of galaxies.